Here in, $144$ the hundreds digit is 1.
The $1$ has travelled to the units place below in $21$ as well as $441$.
What can be said of the $4's$ ?
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It can be said that they are completely unrelated. Then again, $13^2=169$ and $31^2=961$, so we see the first and last digit switched, the central not moved. Both these results are a consequence of $(10a+b)^2=100a^2 +20ab+b^2$ and work if the digits $a,b$ are such that $0<ab<5$.
You may also want to compare $123000456^2$ and $456000123^2$.